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GCF of 487/512, 9532/8592

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 487/512, 9532/8592 i.e 1/274944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/512, 9532/8592.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 487/512,9532/8592?

Given fractions are 487/512,9532/8592

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 487/512,9532/8592, numerators are 487,9532

Denominators are 512,8592

The GCF of 487,9532 is 1 .

LCM of 512,8592 is 274944.

The greatest common factor of 487/512,9532/8592 = [GCF of 487,9532]/[LCM of 512,8592]= 1/274944

Therefore, the GCF of 487/512,9532/8592 is 1/274944.

Greatest Common Factor of 487,9532

To find the highest common factor of 487,9532, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The factors of 9532 are 1, 2, 4, 2383, 4766, 9532

The HCF of 487,9532 is 1.

Lets's calculate GCF of 487,9532

Greatest Common Factor (GCF) of 487,9532 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 487,9532 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,9532 By Matching Biggest Common Factor Method

Now, list down the factors of 487

:

1,487

Now, list down the factors of 9532

:

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 487,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 487,9532 is 1.


Lets's calculate LCM of 512,8592

Lowest Common Multiple of 512,8592 using Common Division

2 512, 8592
2 256, 4296
2 128, 2148
2 64, 1074
32, 537

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 32 x 537 = 274944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274944

Therefore, the GCF of Fractions 487/512,9532/8592 is 1/274944

Least Common Multiple of 512,8592 with GCF Formula

Least Common Multiple of 512,8592 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 512,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,8592) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(512,8592) x common factors =16 x 1 = 16

LCM(512,8592) = ( 512 × 8592 ) / 16

LCM(512,8592) = 4399104 / 16

LCM(512,8592) = 274944


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 487/512, 9532/8592

1. What is the HCF of 487,9532?

The HCF of 487,9532 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 487/512, 9532/8592?

Answer: GCF of Numerators as per given numbers 487/512, 9532/8592 is

GCF of Numerators i.e. for 487,9532 is 1

LCM of denominators i.e. for 512,8592 is 274944.

Thus, GCF of Fractions is 1/274944.Finally, GCF of Fractions for 487/512, 9532/8592 is 1/274944.